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Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type (Q3294734)

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Language	Label	Description	Also known as
English	Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type	scientific article

Statements

scholarly article

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Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type (English)

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Pierluigi Colli

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Juergen Sprekels

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CIM Series in Mathematical Sciences

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publication date

29 June 2020

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zbMATH Keywords

two-species phase segregation

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PDE-ODE system

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-33116-0_3

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Cahn-Hilliard equation with nonlocal singular free energies

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Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert

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Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities

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Optimal control problems of phase relaxation models

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The Neumann boundary problem for a nonlocal Cahn-Hilliard equation

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The Dirichlet boundary problem for a nonlocal Cahn-Hilliard equation

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Hysteresis and phase transitions

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Free Energy of a Nonuniform System. I. Interfacial Free Energy

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Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials

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Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition

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A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles

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Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system

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Analysis of a time discretization scheme for a nonstandard viscous Cahn–Hilliard system

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A vanishing diffusion limit in a nonstandard system of phase field equations

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A continuous dependence result for a nonstandard system of phase field equations

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Well-posedness and Long-time Behavior for a Nonstandard Viscous Cahn–Hilliard System

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Distributed optimal control of a nonstandard system of phase field equations

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Global existence for a strongly coupled Cahn-Hilliard system with viscosity

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An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity

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Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity

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Optimal distributed control of a diffuse interface model of tumor growth

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Analysis and optimal boundary control of a nonstandard system of phase field equations

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A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions

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A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions

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On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation

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Distributed optimal control of a nonstandard nonlocal phase field system

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Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential

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Optimal Velocity Control of a Viscous Cahn--Hilliard System with Convection and Dynamic Boundary Conditions

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Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach

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Nonlinear evolution inclusions arising from phase change models

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On the Cahn-Hilliard equation

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Continuum theory of thermally induced phase transitions based on an order parameter

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Nonlocal Cahn-Hilliard-Navier-Stokes systems with singular potentials

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Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential

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Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions

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A boundary control problem for the equation and dynamic boundary condition of Cahn-Hilliard type

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A descent method for the free energy of multicomponent systems

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On a nonlocal phase separation model

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Doubly nonlocal Cahn-Hilliard equations

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The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property

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Longtime behavior of nonlocal Cahn-Hilliard equations

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Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits

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Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion

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Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance

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Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation.

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Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities

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Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density

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Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System

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3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies

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Convergence of solutions of a non-local phase-field system

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Models of phase segregation and diffusion of atomic species on a lattice

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Optimal Distributed Control of a Nonlocal Convective Cahn--Hilliard Equation by the Velocity in Three Dimensions

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Compact sets in the space \(L^ p(0,T;B)\)

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Optimal control of the convective Cahn–Hilliard equation

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-33116-0_3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3294734

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